SOLUTION: plato has 58 coins in nickels,dimes,and quarters.The number of nickels is three less than twice the number of dimes.The total number of coins is $7.40.How many of each type of coin

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Question 497134: plato has 58 coins in nickels,dimes,and quarters.The number of nickels is three less than twice the number of dimes.The total number of coins is $7.40.How many of each type of coin does he have?
Answer by jorel1380(3719) About Me  (Show Source):
You can put this solution on YOUR website!
n+d+q=58
n=2d-3
q=(58-d-(2d-3));q=61-3d
.05(2d-3)+.1d+.25(61-3d)=7.40
5(2d-3)+10d+25(61-3d)=740
10d-15+10d+1525-75d=740
1510-55d=740
55d=770
d=14
n=25
q=19
Plato has 25 nickels, 14 dimes, and 19 quarters..